Details
| Original language | English |
|---|---|
| Pages (from-to) | 611-628 |
| Number of pages | 18 |
| Journal | Engineering Computations (Swansea, Wales) |
| Volume | 20 |
| Issue number | 5-6 |
| Publication status | Published - 2003 |
Abstract
The subject of this paper is the computation of instability points in mechanical problems with the finite element method. The objective is to extend the application of critical point detection methods to problems with inequality constraints originating from damage and contact. A simple bilinear model is considered for the damage problems. A bilateral, frictionless contact formulation is used for the contact problems. Among the critical point detection methods the focus is laid on the critical displacement method and the extended system. At first a possible combination of both methods is evaluated by applying them to damage problems. A prediction method based on the extended system is developed to facilitate the comparison of both methods. Secondly, the extended system is used as a computation method for critical points in two-dimensional contact problems.
Keywords
- Constraint handling, Finite element method, Inequality, Instability, Structures
ASJC Scopus subject areas
- Computer Science(all)
- Software
- Engineering(all)
- General Engineering
- Computer Science(all)
- Computer Science Applications
- Computer Science(all)
- Computational Theory and Mathematics
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In: Engineering Computations (Swansea, Wales), Vol. 20, No. 5-6, 2003, p. 611-628.
Research output: Contribution to journal › Article › Research › peer review
}
TY - JOUR
T1 - Direct computation of instability points with inequality constraints using the FEM
AU - Tschöpe, H.
AU - Wriggers, Peter
AU - Oñate, E.
PY - 2003
Y1 - 2003
N2 - The subject of this paper is the computation of instability points in mechanical problems with the finite element method. The objective is to extend the application of critical point detection methods to problems with inequality constraints originating from damage and contact. A simple bilinear model is considered for the damage problems. A bilateral, frictionless contact formulation is used for the contact problems. Among the critical point detection methods the focus is laid on the critical displacement method and the extended system. At first a possible combination of both methods is evaluated by applying them to damage problems. A prediction method based on the extended system is developed to facilitate the comparison of both methods. Secondly, the extended system is used as a computation method for critical points in two-dimensional contact problems.
AB - The subject of this paper is the computation of instability points in mechanical problems with the finite element method. The objective is to extend the application of critical point detection methods to problems with inequality constraints originating from damage and contact. A simple bilinear model is considered for the damage problems. A bilateral, frictionless contact formulation is used for the contact problems. Among the critical point detection methods the focus is laid on the critical displacement method and the extended system. At first a possible combination of both methods is evaluated by applying them to damage problems. A prediction method based on the extended system is developed to facilitate the comparison of both methods. Secondly, the extended system is used as a computation method for critical points in two-dimensional contact problems.
KW - Constraint handling
KW - Finite element method
KW - Inequality
KW - Instability
KW - Structures
UR - http://www.scopus.com/inward/record.url?scp=0142009996&partnerID=8YFLogxK
U2 - 10.1108/02644400310488781
DO - 10.1108/02644400310488781
M3 - Article
AN - SCOPUS:0142009996
VL - 20
SP - 611
EP - 628
JO - Engineering Computations (Swansea, Wales)
JF - Engineering Computations (Swansea, Wales)
SN - 0264-4401
IS - 5-6
ER -